Changes between Version 145 and Version 146 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/05/19 14:47:10 (5 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v145 v146  
    9999The weighted number of produced events \(N'(\Delta E, \Delta\Theta)\) in the total energy interval \(E\in\Delta E=[E_\textrm{min};E_\textrm{max}]\) and the total zenith angle interval \(\theta\in\Delta\Theta=[\Theta_\textrm{min};\Theta_\textrm{max}]\) is then
    100100
    101 \[N'(\Delta E, \Delta\Theta) = \sum_{i=0...N}^{E\in\Delta}\sum_{j=0...N}^{\theta\in\Delta\Theta} \rho(E_i)\cdot\tau(\theta_j) = \sum_{i=0...N}^{E\in\Delta E}\rho(E_i)\cdot\sum_{j=0...N}^{\theta\in\Delta\Theta} \tau(\theta_j)\]
     101\[N'(\Delta E, \Delta\Theta) = \sum_{i=0...N}^{E\in\Delta E}\sum_{j=0...N}^{\theta\in\Delta\Theta} \rho(E_i)\cdot\tau(\theta_j) = \sum_{i=0...N}^{E\in\Delta E}\rho(E_i)\cdot\sum_{j=0...N}^{\theta\in\Delta\Theta} \tau(\theta_j)\]
    102102
    103103with \(N(\Delta E, \Delta\Theta\) being the total number of produced events.